GCD of 353, 525, 289 Calculator

Given Input numbers are 353, 525, 289

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 353, 525, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 525, 289 is 1.

Therefore, GCD of numbers 353, 525, 289 is 1

Given Input Data is 353, 525, 289

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 353 is 353

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 289 is 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(353, 525) = 185325

GCD(353, 525) = ( 353 x 525 ) / 185325

GCD(353, 525) = 185325 / 185325

GCD(353, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 353, 525, 289 is 1

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• GCD of 380, 378, 184
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1. What is the GCD of 353, 525, 289?

GCD of 353, 525, 289 is 1

2. Where do I get the detailed procedure to find GCD of 353, 525, 289?

You can find a detailed procedure to find GCD of 353, 525, 289 on our page.

3. How to find GCD of 353, 525, 289 on a calculator?

You can find the GCD of 353, 525, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.